i. Tesla conducted a survey and found that 23% of all the batteries that were installed in its 2015 Roadster models failed in 3 years. If 8 of these cars are sampled independently, what is the probability that more than half will need to replace their batteries in 3 years' time?

ii. Another sample of 50 was conducted again. What is the probability that between 2 and 4 Roadsters will need their batteries replaced in 3 years